Some remarks on Blaschke type products in large area Nevanlinna spaces in the unit disk
Matematičeskie zametki SVFU, Tome 30 (2023) no. 3, pp. 78-90
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The intention of this paper is to introduce and study certain new analytic spaces in the disk and to show that certain Blaschke type products belong to new large Nevanlinna type classes in the unit disk. We also provide parametric representation of such classes. These results extend and complement some previously known assertions of this type obtained earlier by other authors. Our arguments are based on certain new embeddings which relate the well-known $S^p_\alpha$ area Nevanlinna spaces in the unit disk with our new large area Nevanlinna type spaces in the unit disk.
Keywords:
Blaschke type infinite products, area Nevanlinna type space, Nevanlinna characteristic, parametric representation, analytic function.
@article{SVFU_2023_30_3_a6,
author = {R. F. Shamoyan and O. R. Mihi\'c},
title = {Some remarks on {Blaschke} type products in large area {Nevanlinna} spaces in the unit disk},
journal = {Matemati\v{c}eskie zametki SVFU},
pages = {78--90},
year = {2023},
volume = {30},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SVFU_2023_30_3_a6/}
}
TY - JOUR AU - R. F. Shamoyan AU - O. R. Mihić TI - Some remarks on Blaschke type products in large area Nevanlinna spaces in the unit disk JO - Matematičeskie zametki SVFU PY - 2023 SP - 78 EP - 90 VL - 30 IS - 3 UR - http://geodesic.mathdoc.fr/item/SVFU_2023_30_3_a6/ LA - en ID - SVFU_2023_30_3_a6 ER -
R. F. Shamoyan; O. R. Mihić. Some remarks on Blaschke type products in large area Nevanlinna spaces in the unit disk. Matematičeskie zametki SVFU, Tome 30 (2023) no. 3, pp. 78-90. http://geodesic.mathdoc.fr/item/SVFU_2023_30_3_a6/